第1个回答 2009-02-15
1.=(m^2-n^2)(y-x)=(m+n)(m-n)(y-x)
2.=(x^2-2x+1)(x^2-2x-1)=(x-1)^2(x-1-√2)(x-1+√2)
3.=(x-1)^2*{3a(x-1)-2b}=(x-1)^2*(3ax-3a-2b)
4.=(x+y)^2-4(x+y)+4=(x+y-2)^2
5.=4+4(2x-3y)+(2x-3y)^2=(2x-3y+2)^2
6.=(x^4+1)^2-4x^4=x^8+2x^4+1-4x^4=x^8-2x^4+1=(x^4-1)^2
={(x^2+1)(x^2-1)}^2
={(x^2+1)(x+1)(x-1)}^2
第2个回答 2009-02-15
1
=m^2(y-x)-n^2(y-x)=(y-x)(m^2-n^2)=(m+n)(m-n)(y-x)
2
=(x^2-2x+1)(x^2-2x-1)=(x+1)(x-1)(x-1-/2)(x-1+/2)
3
=(x-1)^2(3ax-3a-2b)
4
=(x+y)^2-4(x+y)+4=(x+y-2)^2
5
=(3y-2x)^2-4(3y-2x)+4=(3y-2x-2)^2
6
=(x^4-2x^2+1)(x^4+2x^2+1)=(x^2-1)^2(x^2+1)^2=(x+1)^2(x-1)^2(x^2+1)^2
第3个回答 2009-02-15
1.(n+m)(n-m)(x-y)
2.=x^4-4x^3+4x^2-1
=(x^4-1)-(4x^3-4x^2)
=(x^2+1)(x+1)(x-1)-4x^2(x-1)
=(x^3-3x^2+x+1)(x-1)
3.(3ax-3a-2b)(x-1)^2(注意 这是有平方的)
4.=x^2-4x+y^2-4y+2xy+4
=(x+y+2)^2
5.(2x-3y+2)^2
6.(x2+1)^2*(x+1)^2*(x-1)^2
第4个回答 2009-02-15
m方(y-x)-n方(y-x)=(y-x)(m方-n方)=(m+n)(m-n)(y-x)